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arXiv:1612.02773 [math.AT]AbstractReferencesReviewsResources

Cohomology of Polychromatic Configuration Spaces of Euclidean Space

Nicholas Kosar

Published 2016-12-08Version 1

Recently, the homology and cohomology of non-k-overlapping discs, or, equivalently, no k-equal subspaces of Euclidean space, were calculated by Dobrinskaya and Turchin. We calculate the homology and cohomology of two classes of more general spaces: decreasing polychromatic configuration spaces and bicolored configuration spaces. Instead of all points behaving similarly, we allow for varying behavior between points.

Comments: 32 pages, 3 figures
Categories: math.AT
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